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Maths Puzzle
1,11,21,1211,111221,312211,...?
Read Solution (Total 2)
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- 11=in prev no number of 1 is 1.first 1 represent the total no of one in prev no and second one represent which number.
21=in 11 there are two 1.so 2=total one in 11 and 1=which no that is 1.
1211=in 21 there is one 2 and one 1 so 1(no of 2 in 21)21(no of 1 in 21)1
111221=1(no of one in 1211--concentrate on 1st 1,not the other)11(for 2nd 2 in 1211)2(second 2 of 1211)2(for last and second last 1 )1
312211=3(for 111 in 111221)...
ans>13112221..*****THIS PROBLEM LIKE HUFFMAN CODING****** - 13 years agoHelpfull: Yes(4) No(0)
- Follow the right-to-left order, if the series contains a single number, then take it plus 10. 1 + 10 = 11
IF the series contains 2 identicals numbers which stand next to each other then combine both of them and plus 10: 11 + 10 = 21
Then 21 --> 2+10, 1 + 10 --> 1211
Similarly: 1 + 10, 2 + 10, 11 + 10 --> 111221
And the result is: 21113211 - 11 years agoHelpfull: Yes(0) No(0)
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